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Finding the Fourth Proportional to 57,649.70, 86,318.22 and 29,889.38

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Solution

The fourth proportional to 57,649.70, 86,318.22 and 29,889.38 is: 44,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,649.70 : 86,318.22 = 29,889.38 : x
  2. Step 2: Convert to fraction form
    57,649.70/86,318.22 = 29,889.38/x
  3. Step 3: Cross multiply
    57,649.70x = 86,318.22 × 29,889.38
  4. Step 4: Simplify right side
    57,649.70x = 2,579,998,078.50
  5. Step 5: Solve for x
    x = 2,579,998,078.50/57,649.70
  6. Step 6: Final answer
    x = 44,753.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.